Consider the minterm list form of a Boolean function F given below.

F(P, Q, R, S) = Σm(0, 2, 5, 7, 9, 11) + d(3, 8, 10, 12, 14)

Here, m denotes a minterm and d denotes a don\’t care term. The number of essential prime implicants of the function F is _______ .

Note –This was Numerical Type question.
(A) 1
(B) 2
(C) 3
(D) 4


Answer: (C)

Explanation:

There are three prime implicants P\’QS, PQ\’ and Q\’S\’. Also, all of them are essential.
Therefore, the number of essential prime implicants of function F is 3.


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